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goldfiish [28.3K]

3 years ago

14

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2.

O A. (-4,-3) OB. (-2,1) O C. (2,3) O D. (4,5)

1 answer:

Troyanec [42]3 years ago

8 0

Answer:

D. (4, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

y = 1/2x + 3

<u>Step 2: Solve for</u><u><em> x</em></u>

Substitute in <em>y</em>: x + 1 = 1/2x + 3
Subtract 1/2x on both sides: 1/2x + 1 = 3
Subtract 1 on both sides: 1/2x = 2
Divide both sides by 1/2: x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

Define original equation: y = x + 1
Substitute in <em>x</em>: y = 4 + 1
Add: y = 5

<u>Step 4: Graph</u>

<em>We can confirm our answer.</em>

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